Introduction to Financial Mathematics: Concepts and Computational Methods serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk management, such as probability theory, optimization, and the like. The goal of the book is to expose the reader to a wide range of basic problems, some of which emphasize analytic ability, some requiring programming techniques and others focusing on statistical data analysis. In addition, it covers some areas which are outside the scope of mainstream financial mathematics textbooks. For example, it presents marginal account setting by the CCP and systemic risk, and a brief overview of the model risk. Inline exercises and examples are included to help students prepare for exams on this book.
Statistical thinking is a way of understanding a complex world by describing it in relatively simple terms that nonetheless capture essential aspects of its structure, and that also provide us some idea of how uncertain we are about our knowledge. The foundations of statistical thinking come primarily from mathematics and statistics, but also from computer science, psychology, and other fields of study.
The goal of this book is to improve your logical-reasoning skills. These skills are also called "critical thinking skills." They are a complex weave of abilities that help you get someone's point, generate reasons for your own point, evaluate the reasons given by others, decide what or what not to do, decide what information to accept or reject, explain a complicated idea, apply conscious quality control as you think, and resist propaganda. Your most important critical thinking skill is your skill at making judgments─not snap judgments that occur in the blink of an eye, but those that require careful reasoning.
Diagnostic Imaging principles and concepts are augmented by the presentation of images for common clinical conditions. Guiding principles related to minimizing radiation exposure and requesting the most appropriate imaging examination are addressed.Static images are enhanced by the ability to access images stored and displayed on an Html-5 compatible, Dicom image viewer that simulates a simple Picture Archive and Communication system (PACS). Users can also access other imaging from the Dicom viewer (ODIN), beyond the basic curriculum provided, to further advance their experience with viewing diagnostic imaging pathologies.
Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe.
This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.
This textbook was born of a desire to contribute a viable, free, introductory Numerical Analysis textbook for instructors and students of mathematics. The ultimate goal of Tea Time Numerical Analysis is to be a complete, one-semester, single-pdf, downloadable textbook designed for mathematics classes. Now includes differential equations.
This text endeavours to focus on wellbeing promotion in educational contexts as schools and other educational contexts play a pivotal role in teaching students about nonviolence, promoting understanding of diversity, endowing people with a shared purpose and meaning and the skills and behaviours to create a more inclusive, healthy, and positive future.
This textbook is unique among economics textbooks. It contains many of the same topics as mainstream textbooks, but it includes and takes very seriously heterodox critiques and alternatives to the mainstream approach to economics. It includes a whole range of alternative theories, including Post-Keynesian, Austrian, Marxian, radical, feminist, institutionalist, and other approaches. The purpose is to teach students about alternative schools of economic thought but also to deepen their understanding of the dominant, neoclassical approach to economics. In this sense, it draws a great deal of inspiration from Richard Wolff and Stephen Resnick’s Contending Economic Theories. Following Wolff and Resnick, an even broader objective is to teach students that economics is a discourse and that no single voice can rightfully claim to have a monopoly on the truth about economics.